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21789540 = 2233540351
BaseRepresentation
bin101001100011…
…1101101100100
31112000000122000
41103013231210
521034231130
62055005300
7353131233
oct123075544
945000560
1021789540
1111332893
127369830
13468bb26
142c72b1a
151da6260
hex14c7b64

21789540 has 48 divisors (see below), whose sum is σ = 67791360. Its totient is φ = 5810400.

The previous prime is 21789511. The next prime is 21789557. The reversal of 21789540 is 4598712.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21789495 and 21789504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19636 + ... + 20715.

It is an arithmetic number, because the mean of its divisors is an integer number (1412320).

Almost surely, 221789540 is an apocalyptic number.

21789540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21789540 is an abundant number, since it is smaller than the sum of its proper divisors (46001820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21789540 is a wasteful number, since it uses less digits than its factorization.

21789540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40369 (or 40361 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 21789540 is about 4667.9267346436. The cubic root of 21789540 is about 279.3075577036.

The spelling of 21789540 in words is "twenty-one million, seven hundred eighty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 40351 80702 121053 161404 201755 242106 363159 403510 484212 605265 726318 807020 1089477 1210530 1452636 1815795 2178954 2421060 3631590 4357908 5447385 7263180 10894770 21789540